Question

What is the area of a triangle with vertices at (−2, 1) , (2, 1) , and ​ (3, 4) ?

Answer 1

The area of the triangle is 6 square units.

Step-by-step explanation:

To find the area of a triangle with vertices at (-2, 1), (2, 1), and (3, 4), we can use the formula for the area of a triangle: Area = 1/2 × base × height.

First, we need to find the base and height of the triangle. The base is the distance between the points (-2, 1) and (2, 1), which is 4 units. The height is the distance between the point (3, 4) and the line formed by the base, which is the vertical distance from (3, 4) to the line y=1, which is 3 units.

Plugging these values into the formula, we get Area = 1/2 × 4 ×3 = 6 square units.

Answer 2

using your graph multiply the  the two horizontal and diagonal line together, then divide by two. this works because with a rectangle you can multiply to get the area.  The dividing by two is bringing the triangle back by splitting the rectangle in half to make it a triangle again